Unit Converter & Dimensional Analysis

The Unit Converter does conversions the way a chemistry or physics course wants them written: as a chain of factors with units cancelling. Length, area, volume, mass, time, temperature, speed, acceleration, force, pressure, energy, power, density, concentration, and data. Compound units like mph to m/s, g/cm^3 to kg/m^3, or kWh to joules. It also solves full dimensional-analysis problems, such as how many seconds a car takes to cover a distance given a speed in miles per hour, and checks that a formula is dimensionally consistent. Prefix conversions, such as nanometers to meters, use the power-of-ten factor written out, and currency-style multi-step conversions, such as cost per gallon to cost per liter, are chained the same way.

Type the value with its unit and the target unit: "65 mph to m/s", "2.5 atm to kPa", "0.75 g/mL to kg/m^3", "how many minutes to travel 12 km at 45 km/h". Photos of a printed conversion table or problem work. For temperature, the solver applies the offset, not a bare factor. Significant figures follow the input unless you state a precision. For a multi-step word problem, paste the whole problem and say what unit the final answer should be in. If a conversion factor in your course differs from the standard value, such as using 1 in = 2.5 cm, state it and the solver uses that factor and labels it as given.

Output: the converted value first, then the factor chain with every unit written and struck through as it cancels, then the arithmetic. Dimensional-consistency checks show each term reduced to base units. The working is shown so you can check it. For a physics problem that needs a conversion mid-calculation, the Physics Solver and Kinematics Solver do the conversion inline. For chemistry quantities like moles and molarity, use the Chemistry Solver. A follow-up can ask for the same quantity in a different target unit or for a different precision. Factors are kept at full precision until the final rounding, so intermediate values do not accumulate rounding error.